Answered

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Suppose we want to choose 3 colors, without replacement, from the 4 colors red, blue, green, and purple How many ways can this be done, if the order of the choices is taken into consideration?.

Sagot :

Answer:

24

Step-by-step explanation:

Without taking order into consideration we can choose 4 different sets of colors using the equation:

(4×3×2)/(3×2×1)

And to take order into considiration we can arrange each of these 4 groups of color in 6 orders using:

3!

so in the end we have:

4×6 = 24

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